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Finding the Third Proportional to 301,098 and 440,339

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Solution

The third proportional to 301,098 and 440,339 is: 643,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,098 : 440,339 = 440,339 : x
  2. Step 2: Convert to fraction form
    301,098/440,339 = 440,339/x
  3. Step 3: Cross multiply
    301,098x = 440,339 × 440,339
  4. Step 4: Simplify right side
    301,098x = 193,898,434,921
  5. Step 5: Solve for x
    x = 193,898,434,921/301,098
  6. Step 6: Final answer
    x = 643,971.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.